Not surprisingly, the Euro ensembles trended towards less of a chance of snow for Long Island early next week. However, there is plenty of time to watch it, and there are always changes at this range.
There is also the potential snowstorm for late next week (29th/30th), as you can see in the images below.
As I have posted about, it generally looks like a west to east storm track, so you can see that the potential for snow is higher on Long Island (1st image) than in Boston (2nd image).
The 3rd image shows the projected temperatures with ranges for Long Island for the next 15 days from the Euro ensembles.
Don't forget about the snow showers for tomorrow morning on Long Island, generally between around 6 AM and 10 AM. A coating to a half-inch is possible in some spots. The 4th image shows the simulated future radar for 8:00 tomorrow morning from the HRRR model.